The nonlinear theory of free electron laser with transverse dimensional effects
Abstract
A nonlinear threedimensional model of the free electron laser (FEL) comprising the effects of the wiggler field, the electron beam, and the radiation beam in a steady state amplifying configuration is presented. A static magnetic wiggler field has transverse spatial variations which cause slow betatron oscillations, increasing the effective beam temperature, thereby emptying the electromotive potential buckets of electrons. The evolution of the total radiation field is analytically considered, noting that the electron and radiation beams do not destructively interfere with one another. Threedimensional effects are numerically illustrated, and power gain by either an increase in the electron kinetic energy or in the applied dc electric field are considered. Finally, examples for a 10.6 micron FEL using a CO2 laser for input are investigated in terms of a resonant macroparticle approximation, with the inclusion of an applied dc electric potential, and with a stationary resonant phase approximation.
 Publication:

Lasers '80; Proceedings of the International Conference
 Pub Date:
 1981
 Bibcode:
 1981lase.conf...13T
 Keywords:

 Carbon Dioxide Lasers;
 Free Electron Lasers;
 Lasing;
 Magnetic Field Configurations;
 Mathematical Models;
 Nonlinearity;
 Betatrons;
 Electron Beams;
 Electron Energy;
 Energy Conversion Efficiency;
 Laser Outputs;
 Particle Motion;
 Power Gain;
 Radiation Distribution;
 Spatial Distribution;
 Three Dimensional Models;
 Wiggler Magnets;
 Lasers and Masers